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What should be judged is the conclusion, but not the simplified assumption. From the instrumentalist's viewpoint, economics and sociology have the possibility to co-exist.

在此观点之下，经济学与社会学确有共存的哲学基础，故结合两家长处的社会经济学自有其存在的知识基础。

The integral equation can be simplified by means of Laplace transforms methods.

最后对所得的积分方程进行数值求解得到桩的剪力、弯矩和位移。

The integral equation can be simplified by means of Laplace transform.

对所得的积分方程进行Laplace变换，得到变换域内的积分方程。

The human heart is the center of the cardiovascular system. Integrated with mechanical, electrical, neural and biochemical properties, the heart is difficult to model, and there is no ideal integral model now. The developed electrical models haven't considered the mechanical properties and blood flow process in the heart; while the mechanical ones have normally deal with the heart in the diastole period, and the electrical activity was simplified too much although some mechanical models have investigated the heart during systole.

心脏是循环系统的核心，它集机、电、神经和生化控制于一体，建模难度很大，目前尚无较理想的统一模型；心脏电生理模型未与心脏的机械动力过程和血液流动过程联系起来；而心脏力学模型大都只研究舒张期的力学特性，即使研究收缩期心脏的力学问题，也往往对心电兴奋做了许多简化假设。

In the case of simply supported ends, the Galerkin method is used to simplify the integro-partial-differential equation into an integro -differential equation. The equation is further simplified into a set of ordinary differential equations by introducing an additional variable. Finally, the numerical methods in modern nonlinear dynamics such as phase plane trajectory, power spectrum and Lyapunov exponents are adopted to investigate the dynamical behavior of the beam.

对于两端简支的情形，采用Galerkin方法简化为常微分－积分方程；然后通过引进附加变量的方法进一步简化为常微分方程；最后利用相平面图、功率谱和Lyapunov指数等非线性动力学中的数值方法识别梁的动力学行为。

He says the two-stage interceptor is a simplified version of the three-stage version used above the Pacific.

他说欧洲的两阶段防御是太平洋三阶段防御的简化版本。

A formula of rock resistant coefficient is derived based on unified strength theory, which can be adopted to obtain rock resistant coefficient in other situations or strength thoeries simplified by assuming the parameter value in the formula. The strength differential effect, intermediate principal stress effect and the ground water permeation effect are considered in the formula.

基于统一强度理论，将巷道围岩视为多孔介质，考虑地下水渗流作用的影响，推导出了巷道围岩抗力系数计算统一公式，改变公式中的参数可以退化为其他围岩条件或者其他强度理论条件下的围岩抗力系数计算公式。

The Turing test is often simplified to one in which a machine attempts to convince a human interrogator that it is a human.

图灵测试通常被简化为这样一种形式：机器试图让人类询问者相信它是人类。

This algorithm simplified the calculational methods of point of intersection and improved system speed.

该算法生成的真实感图形显示效果好，接近光线追踪生成的真实感图形。

As an accurate analysis seems to be intractable, part of our analysis is based on a simplified model.

由于准确分析难以实现，本文的部分分析基于一个简化的模型。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。